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Table 4 Measurement invariance for nested model comparisons of major sub-groupsa

From: Construct validation of judgement-based assessments of medical trainees’ competency in the workplace using a “Kanesian” approach to validation

Grouping

Model

df

χ2b

χ 2/df

RMSEA

CFI

TLI

SRMR

∆χ2

p-value for ∆χ2

∆CFI

∆TLI

∆SRMR

(90 % CI)

Female and Male Supervisors

Unconstrained

107

302.01

2.82

0.072

0.914

0.912

0.0746

     

(0.063–0.082)

All factor loadings constrained equal

118

323.37

2.74

0.071

0.910

0.916

0.0739

21.36

0.030

0.004

−0.004

0.0007

(0.062–0.080)

Female and Male Trainees

Unconstrained

107

296.97

2.775

0.072

0.916

0.914

0.0599

     

(0.062–0.081)

All factor loadings constrained equal

118

304.27

2.579

0.067

0.918

0.924

0.0601

7.299

0.774

0.002

−0.010

0.0002

(0.058–0.077)

Overseas (OTDs) and Australian Trained Doctors (ATDs)

Unconstrained

107

283.35

2.648

0.069

0.922

0.919

0.0718

     

(0.059–0.079)

All factor loadings constrained equal

118

301.60

2.556

0.067

0.918

0.924

0.0710

18.248

0.076

0.004

−0.004

0.0008

(0.058–0.076)

  1. aAssuming models unconstrained to be correct
  2. bAll p-values <0.000 for the model χ2
  3. χ2 minimum fit function chi-square, RMSEA root mean square error of approximation, CFI comparative fit index, TLI Tucker-Lewis index, SMSR standardized root mean square residual, Δ parameter difference between constrained and unconstrained model